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The total surface area of a right circular cone is 256 square feet. If I slant height of the cone is three times the length of a radius of the base, find the length of a radius

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casthomas01

what are the answers

we are given

total surface area is 256

we can use formula

[tex] TA=\pi r^2 +\pi r l [/tex]

l is slant height

r is radius

we are given

l=3r

so, we can plug it

[tex] TA=\pi r^2 +\pi r *3r [/tex]

[tex] TA=4\pi r^2 [/tex]

now, we can plug TA=256

[tex] 256=4\pi r^2 [/tex]

now, we can solve for r

we get

[tex] r=4.51352 [/tex]...........Answer

we are given

total surface area is 256

we can use formula

[tex] TA=\pi r^2 +\pi r l [/tex]

l is slant height

r is radius

we are given

l=3r

so, we can plug it

[tex] TA=\pi r^2 +\pi r *3r [/tex]

[tex] TA=4\pi r^2 [/tex]

now, we can plug TA=256

[tex] 256=4\pi r^2 [/tex]

now, we can solve for r

we get

[tex] r=4.51352 [/tex]...........Answer

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